Making trails in a curve mesh created by the Animation Nodes add-on
You say you implemented hooks proceduraly, consequently you can construct the spline at any frame of your choosing. So, what you need to do is loop over the frames, construct the spline, evaluate some points onto it, and append those points. The loop will output a list containing the evaluate points at all frames. All you need to do now is construct a mesh from that by using the edge and polygon indices of the grid node as follows: